103 citations · 686 across the 101 of their papers we have counts for
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A new look at Hecke's indefinite theta series
Alexander Polishchuk
We describe a family of -series generating the space of weight 1 modular forms coming from indefinite binary quadratic forms and study linear relations between these series.
Algebraic construction of Witten's top Chern class
Alexander Polishchuk, Arkady Vaintrob
We give a construction of Witten's "top Chern class" on the compactified moduli space of curves with higher spin structures and show that it satisfies most of the axioms proposed i…
Classical Yang-Baxter equation and the -constraint
Alexander Polishchuk
We show that elliptic solutions of the classical Yang-Baxter equation can be obtained from triple Massey products on elliptic curve. We introduce the associative version of this eq…
Rapidly converging series for the Weierstrass zeta-function and the Kronecker function
Alexander Polishchuk
We present expressions for the Weierstrass zeta-function and related elliptic functions by rapidly converging series. These series arise as triple products in the A-infinity catego…
Fourier transform over finite field and identities between Gauss sums
David Kazhdan, Alexander Polishchuk
This is a sequel to math.AG/0003009. Here we study identities for the Fourier transform of "elementary functions" over finite field containing "exponents" of monomial rational func…
Indefinite theta series of signature (1,1) from the point of view of homological mirror symmetry
Alexander Polishchuk
We apply the homological mirror symmetry for elliptic curves to the study of indefinite theta series. We prove that every such series corresponding to a quadratic form of signature…